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Finding the Third Proportional to 9,769.50 and 14,781.75

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Solution

The third proportional to 9,769.50 and 14,781.75 is: 22,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.50 : 14,781.75 = 14,781.75 : x
  2. Step 2: Convert to fraction form
    9,769.50/14,781.75 = 14,781.75/x
  3. Step 3: Cross multiply
    9,769.50x = 14,781.75 × 14,781.75
  4. Step 4: Simplify right side
    9,769.50x = 218,500,133.06
  5. Step 5: Solve for x
    x = 218,500,133.06/9,769.50
  6. Step 6: Final answer
    x = 22,365.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.